// SPDX-License-Identifier: Apache-2.0 // ---------------------------------------------------------------------------- // Copyright 2011-2021 Arm Limited // // Licensed under the Apache License, Version 2.0 (the "License"); you may not // use this file except in compliance with the License. You may obtain a copy // of the License at: // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, WITHOUT // WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the // License for the specific language governing permissions and limitations // under the License. // ---------------------------------------------------------------------------- /** * @brief Functions and data tables for numeric quantization.. */ #include "astcenc_internal.h" #if !defined(ASTCENC_DECOMPRESS_ONLY) // Starts from QUANT_6 // Scrambled const uint8_t color_quant_tables[17][256] { { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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9, 9, 71, 71, 71, 39, 39, 7, 7, 7, 69, 69, 69, 37, 37, 5, 5, 5, 67, 67, 67, 35, 35, 3, 3, 3, 65, 65, 65, 33, 33, 1, 1 }, { 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 33, 33, 34, 34, 35, 35, 36, 36, 37, 37, 38, 38, 39, 39, 40, 40, 41, 41, 42, 42, 43, 43, 44, 44, 45, 45, 46, 46, 47, 47, 48, 48, 49, 49, 50, 50, 51, 51, 52, 52, 53, 53, 54, 54, 55, 55, 56, 56, 57, 57, 58, 58, 59, 59, 60, 60, 61, 61, 62, 62, 63, 63, 64, 64, 65, 65, 66, 66, 67, 67, 68, 68, 69, 69, 70, 70, 71, 71, 72, 72, 73, 73, 74, 74, 75, 75, 76, 76, 77, 77, 78, 78, 79, 79, 80, 80, 81, 81, 82, 82, 83, 83, 84, 84, 85, 85, 86, 86, 87, 87, 88, 88, 89, 89, 90, 90, 91, 91, 92, 92, 93, 93, 94, 94, 95, 95, 96, 96, 97, 97, 98, 98, 99, 99, 100, 100, 101, 101, 102, 102, 103, 103, 104, 104, 105, 105, 106, 106, 107, 107, 108, 108, 109, 109, 110, 110, 111, 111, 112, 112, 113, 113, 114, 114, 115, 115, 116, 116, 117, 117, 118, 118, 119, 119, 120, 120, 121, 121, 122, 122, 123, 123, 124, 124, 125, 125, 126, 126, 127, 127 }, { 0, 32, 32, 64, 96, 96, 128, 128, 2, 34, 34, 66, 98, 98, 130, 130, 4, 36, 36, 68, 100, 100, 132, 132, 6, 38, 38, 70, 102, 102, 134, 134, 8, 40, 40, 72, 104, 104, 136, 136, 10, 42, 42, 74, 106, 106, 138, 138, 12, 44, 44, 76, 108, 108, 140, 140, 14, 46, 46, 78, 110, 110, 142, 142, 16, 48, 48, 80, 112, 112, 144, 144, 18, 50, 50, 82, 114, 114, 146, 146, 20, 52, 52, 84, 116, 116, 148, 148, 22, 54, 54, 86, 118, 118, 150, 150, 24, 56, 56, 88, 120, 120, 152, 152, 26, 58, 58, 90, 122, 122, 154, 154, 28, 60, 60, 92, 124, 124, 156, 156, 30, 62, 62, 94, 126, 126, 158, 158, 159, 159, 127, 127, 95, 63, 63, 31, 157, 157, 125, 125, 93, 61, 61, 29, 155, 155, 123, 123, 91, 59, 59, 27, 153, 153, 121, 121, 89, 57, 57, 25, 151, 151, 119, 119, 87, 55, 55, 23, 149, 149, 117, 117, 85, 53, 53, 21, 147, 147, 115, 115, 83, 51, 51, 19, 145, 145, 113, 113, 81, 49, 49, 17, 143, 143, 111, 111, 79, 47, 47, 15, 141, 141, 109, 109, 77, 45, 45, 13, 139, 139, 107, 107, 75, 43, 43, 11, 137, 137, 105, 105, 73, 41, 41, 9, 135, 135, 103, 103, 71, 39, 39, 7, 133, 133, 101, 101, 69, 37, 37, 5, 131, 131, 99, 99, 67, 35, 35, 3, 129, 129, 97, 97, 65, 33, 33, 1 }, { 0, 64, 128, 128, 2, 66, 130, 130, 4, 68, 132, 132, 6, 70, 134, 134, 8, 72, 136, 136, 10, 74, 138, 138, 12, 76, 140, 140, 14, 78, 142, 142, 16, 80, 144, 144, 18, 82, 146, 146, 20, 84, 148, 148, 22, 86, 150, 150, 24, 88, 152, 152, 26, 90, 154, 154, 28, 92, 156, 156, 30, 94, 158, 158, 32, 96, 160, 160, 34, 98, 162, 162, 36, 100, 164, 164, 38, 102, 166, 166, 40, 104, 168, 168, 42, 106, 170, 170, 44, 108, 172, 172, 46, 110, 174, 174, 48, 112, 176, 176, 50, 114, 178, 178, 52, 116, 180, 180, 54, 118, 182, 182, 56, 120, 184, 184, 58, 122, 186, 186, 60, 124, 188, 188, 62, 126, 190, 190, 191, 191, 127, 63, 189, 189, 125, 61, 187, 187, 123, 59, 185, 185, 121, 57, 183, 183, 119, 55, 181, 181, 117, 53, 179, 179, 115, 51, 177, 177, 113, 49, 175, 175, 111, 47, 173, 173, 109, 45, 171, 171, 107, 43, 169, 169, 105, 41, 167, 167, 103, 39, 165, 165, 101, 37, 163, 163, 99, 35, 161, 161, 97, 33, 159, 159, 95, 31, 157, 157, 93, 29, 155, 155, 91, 27, 153, 153, 89, 25, 151, 151, 87, 23, 149, 149, 85, 21, 147, 147, 83, 19, 145, 145, 81, 17, 143, 143, 79, 15, 141, 141, 77, 13, 139, 139, 75, 11, 137, 137, 73, 9, 135, 135, 71, 7, 133, 133, 69, 5, 131, 131, 67, 3, 129, 129, 65, 1 }, { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255 } }; #endif // Starts from QUANT_6 // Scrambled const uint8_t color_unquant_tables[17][256] { { 0, 255, 51, 204, 102, 153 }, { 0, 36, 73, 109, 146, 182, 219, 255 }, { 0, 255, 28, 227, 56, 199, 84, 171, 113, 142 }, { 0, 255, 69, 186, 23, 232, 92, 163, 46, 209, 116, 139 }, { 0, 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255 }, { 0, 255, 67, 188, 13, 242, 80, 175, 27, 228, 94, 161, 40, 215, 107, 148, 54, 201, 121, 134 }, { 0, 255, 33, 222, 66, 189, 99, 156, 11, 244, 44, 211, 77, 178, 110, 145, 22, 233, 55, 200, 88, 167, 121, 134 }, { 0, 8, 16, 24, 33, 41, 49, 57, 66, 74, 82, 90, 99, 107, 115, 123, 132, 140, 148, 156, 165, 173, 181, 189, 198, 206, 214, 222, 231, 239, 247, 255 }, { 0, 255, 32, 223, 65, 190, 97, 158, 6, 249, 39, 216, 71, 184, 104, 151, 13, 242, 45, 210, 78, 177, 110, 145, 19, 236, 52, 203, 84, 171, 117, 138, 26, 229, 58, 197, 91, 164, 123, 132 }, { 0, 255, 16, 239, 32, 223, 48, 207, 65, 190, 81, 174, 97, 158, 113, 142, 5, 250, 21, 234, 38, 217, 54, 201, 70, 185, 86, 169, 103, 152, 119, 136, 11, 244, 27, 228, 43, 212, 59, 196, 76, 179, 92, 163, 108, 147, 124, 131 }, { 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 65, 69, 73, 77, 81, 85, 89, 93, 97, 101, 105, 109, 113, 117, 121, 125, 130, 134, 138, 142, 146, 150, 154, 158, 162, 166, 170, 174, 178, 182, 186, 190, 195, 199, 203, 207, 211, 215, 219, 223, 227, 231, 235, 239, 243, 247, 251, 255 }, { 0, 255, 16, 239, 32, 223, 48, 207, 64, 191, 80, 175, 96, 159, 112, 143, 3, 252, 19, 236, 35, 220, 51, 204, 67, 188, 83, 172, 100, 155, 116, 139, 6, 249, 22, 233, 38, 217, 54, 201, 71, 184, 87, 168, 103, 152, 119, 136, 9, 246, 25, 230, 42, 213, 58, 197, 74, 181, 90, 165, 106, 149, 122, 133, 13, 242, 29, 226, 45, 210, 61, 194, 77, 178, 93, 162, 109, 146, 125, 130 }, { 0, 255, 8, 247, 16, 239, 24, 231, 32, 223, 40, 215, 48, 207, 56, 199, 64, 191, 72, 183, 80, 175, 88, 167, 96, 159, 104, 151, 112, 143, 120, 135, 2, 253, 10, 245, 18, 237, 26, 229, 35, 220, 43, 212, 51, 204, 59, 196, 67, 188, 75, 180, 83, 172, 91, 164, 99, 156, 107, 148, 115, 140, 123, 132, 5, 250, 13, 242, 21, 234, 29, 226, 37, 218, 45, 210, 53, 202, 61, 194, 70, 185, 78, 177, 86, 169, 94, 161, 102, 153, 110, 145, 118, 137, 126, 129 }, { 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 129, 131, 133, 135, 137, 139, 141, 143, 145, 147, 149, 151, 153, 155, 157, 159, 161, 163, 165, 167, 169, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 191, 193, 195, 197, 199, 201, 203, 205, 207, 209, 211, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255 }, { 0, 255, 8, 247, 16, 239, 24, 231, 32, 223, 40, 215, 48, 207, 56, 199, 64, 191, 72, 183, 80, 175, 88, 167, 96, 159, 104, 151, 112, 143, 120, 135, 1, 254, 9, 246, 17, 238, 25, 230, 33, 222, 41, 214, 49, 206, 57, 198, 65, 190, 73, 182, 81, 174, 89, 166, 97, 158, 105, 150, 113, 142, 121, 134, 3, 252, 11, 244, 19, 236, 27, 228, 35, 220, 43, 212, 51, 204, 59, 196, 67, 188, 75, 180, 83, 172, 91, 164, 99, 156, 107, 148, 115, 140, 123, 132, 4, 251, 12, 243, 20, 235, 28, 227, 36, 219, 44, 211, 52, 203, 60, 195, 68, 187, 76, 179, 84, 171, 92, 163, 100, 155, 108, 147, 116, 139, 124, 131, 6, 249, 14, 241, 22, 233, 30, 225, 38, 217, 46, 209, 54, 201, 62, 193, 70, 185, 78, 177, 86, 169, 94, 161, 102, 153, 110, 145, 118, 137, 126, 129 }, { 0, 255, 4, 251, 8, 247, 12, 243, 16, 239, 20, 235, 24, 231, 28, 227, 32, 223, 36, 219, 40, 215, 44, 211, 48, 207, 52, 203, 56, 199, 60, 195, 64, 191, 68, 187, 72, 183, 76, 179, 80, 175, 84, 171, 88, 167, 92, 163, 96, 159, 100, 155, 104, 151, 108, 147, 112, 143, 116, 139, 120, 135, 124, 131, 1, 254, 5, 250, 9, 246, 13, 242, 17, 238, 21, 234, 25, 230, 29, 226, 33, 222, 37, 218, 41, 214, 45, 210, 49, 206, 53, 202, 57, 198, 61, 194, 65, 190, 69, 186, 73, 182, 77, 178, 81, 174, 85, 170, 89, 166, 93, 162, 97, 158, 101, 154, 105, 150, 109, 146, 113, 142, 117, 138, 121, 134, 125, 130, 2, 253, 6, 249, 10, 245, 14, 241, 18, 237, 22, 233, 26, 229, 30, 225, 34, 221, 38, 217, 42, 213, 46, 209, 50, 205, 54, 201, 58, 197, 62, 193, 66, 189, 70, 185, 74, 181, 78, 177, 82, 173, 86, 169, 90, 165, 94, 161, 98, 157, 102, 153, 106, 149, 110, 145, 114, 141, 118, 137, 122, 133, 126, 129 }, { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255 } }; // The quant_mode_table[integer_count/2][bits] gives us the quantization level for a given integer // count and number of bits that the integer may fit into. const int8_t quant_mode_table[10][128] { { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { -1, -1, 0, 0, 2, 3, 5, 6, 8, 9, 11, 12, 14, 15, 17, 18, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 }, { -1, -1, -1, -1, 0, 0, 0, 1, 2, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 11, 12, 13, 14, 14, 15, 16, 17, 17, 18, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 }, { -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 }, { -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 }, { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 }, { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 }, { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 }, { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19 }, { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17 } };